The article studies the problem of approximate online reconstruction of an unknown disturbance acting on a system described by ordinary differential equations. To solve the problem under the assumption that some of the system coordinates are measured inaccurately, we propose an algorithm based on a combination of feedback control methods and methods of the theory of ill-posed problems. The convergence of the approximations constructed by the algorithm to the exact disturbance is established under an appropriate matching of the measurement error and computational grids selected accordingly.
M. S. Blizorukova (Sat,) studied this question.